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Finding the Fourth Proportional to 23,867.64, 35,776.53 and 8,067.20

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Solution

The fourth proportional to 23,867.64, 35,776.53 and 8,067.20 is: 12,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867.64 : 35,776.53 = 8,067.20 : x
  2. Step 2: Convert to fraction form
    23,867.64/35,776.53 = 8,067.20/x
  3. Step 3: Cross multiply
    23,867.64x = 35,776.53 × 8,067.20
  4. Step 4: Simplify right side
    23,867.64x = 288,616,243.93
  5. Step 5: Solve for x
    x = 288,616,243.93/23,867.64
  6. Step 6: Final answer
    x = 12,092.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.